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Finding the Third Proportional to 7,701 and 10,112

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Solution

The third proportional to 7,701 and 10,112 is: 13,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701 : 10,112 = 10,112 : x
  2. Step 2: Convert to fraction form
    7,701/10,112 = 10,112/x
  3. Step 3: Cross multiply
    7,701x = 10,112 × 10,112
  4. Step 4: Simplify right side
    7,701x = 102,252,544
  5. Step 5: Solve for x
    x = 102,252,544/7,701
  6. Step 6: Final answer
    x = 13,277.83

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.